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Finding the Third Proportional to 20,416.50 and 32,883.75

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Solution

The third proportional to 20,416.50 and 32,883.75 is: 52,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.50 : 32,883.75 = 32,883.75 : x
  2. Step 2: Convert to fraction form
    20,416.50/32,883.75 = 32,883.75/x
  3. Step 3: Cross multiply
    20,416.50x = 32,883.75 × 32,883.75
  4. Step 4: Simplify right side
    20,416.50x = 1,081,341,014.06
  5. Step 5: Solve for x
    x = 1,081,341,014.06/20,416.50
  6. Step 6: Final answer
    x = 52,964.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.